Galvagni Figures for Hexacubes

A hexacube is a solid made of six cubes joined face to face. On this page, tiles are identified with their mirror images.

A Galvagni figure is a figure that can be tiled by a polyform in more than one way—a kind of self-compatibility figure.

The solutions shown are not necessarily unique. The gray hexacube has no known solution. If you find one, please write.

See also Galvagni Figures for Pentacubes and Galvagni Figures for Heptacubes.

2 Tiles

3 Tiles

4 Tiles

Unsolved

This hexacube has no known solution. However, the corresponding hexa-hypercube has a solution with two tiles!

Last revised 2018-02-19.


Back to Galvagni Compatibility < Polyform Compatibility < Polyform Curiosities
Col. George Sicherman [ HOME | MAIL ]